BRAVO for many-server QED systems with finite buffers

2013/08/05 by D. J. Daley, Daley, Daryl J., Johan S. H. van Leeuwaarden +3 · 1 citation
Business, Management and Accounting · Computer Science · #Advanced Queuing Theory Analysis #Age of Information Optimization #Distributed systems and fault tolerance #FOS: Mathematics #Probability (math.PR)

paper · pdf · doi:10.48550/arxiv.1308.0933

openalex publication_date 2013/08/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper demonstrates the occurrence of the feature called BRAVO (Balancing Reduces Asymptotic Variance of Output) for the departure process of a finite-buffer Markovian many-server system in the QED (Quality and Efficiency-Driven) heavy-traffic regime. The results are based on evaluating the limit of a formula for the asymptotic variance of death counts in finite birth--death processes.

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• Second Order Properties of Thinned Counts in Finite Birth--Death Processes

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